Question

How many sides does a regular polygon have if one exterior angle is 1 degree

Answer 1

The number of sides are 360

Explanation:

We are given

exterior angle is 1 degree

Firstly, we will find interior angle

interior angle = 180 - exterior angle

we can plug value

interior angle = 180 - 1

interior angle = 179

now, we can use formula

`(180(n-2))/(n)=\theta`

now, we can plug angle

`(180(n-2))/(n)=179`

now, we can solve for n

`180\left(n-2\right)=179n`

`180n=179n+360`

`n=360`

So,

The number of sides are 360